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Summary

For a full description, see Larson et al., College Algebra: A Graphing Approach, 3/e.

Table of Contents

A Word from the Authors (Preface)

viii

Features Highlights

xii

Functions and Their Graphs

1

(86)

Introduction to Library of Functions

2

(1)

Lines in the Plane

3

(13)

Functions

16

(14)

Graphs of Functions

30

(12)

Shifting, Reflecting, and Stretching Graphs

42

(9)

Combinations of Functions

51

(11)

Inverse Functions

62

(10)

Exploring Data: Linear Models and Scatter Plots

72

(15)

Chapter Summary

81

(1)

Review Exercises

82

(4)

Chapter Test

86

(1)

Polynomial and Rational Functions

87

(88)

Quadratic Functions

88

(11)

Polynomial Functions of Higher Degree

99

(13)

Real Zeros of Polynomial Functions

112

(15)

Complex Numbers

127

(8)

The Fundamental Theorem of Algebra

135

(7)

Rational Functions and Asymptotes

142

(10)

Graphs of Rational Functions

152

(9)

Exploring Data: Quadratic Models

161

(14)

Chapter Summary

168

(1)

Review Exercises

169

(5)

Chapter Test

174

(1)

Exponential and Logarithmic Functions

175

(72)

Exponential Functions and Their Graphs

176

(12)

Logarithmic Functions and Their Graphs

188

(11)

Properties of Logarithms

199

(7)

Solving Exponential and Logarithmic Equations

206

(11)

Exponential and Logarithmic Models

217

(12)

Exploring Data: Nonlinear Models

229

(18)

Chapter Summary

238

(1)

Review Exercises

239

(5)

Chapter Test

244

(1)

Cumulative Test: Chapters 1--3

245

(2)

Trigonometric Functions

247

(92)

Radian and Degree Measure

248

(11)

Trigonometric Functions: The Unit Circle

259

(8)

Right Triangle Trigonometry

267

(11)

Trigonometric Functions of Any Angle

278

(9)

Graphs of Sine and Cosine Functions

287

(11)

Graphs of Other Trigonometric Functions

298

(11)

Inverse Trigonometric Functions

309

(11)

Applications and Models

320

(19)

Chapter Summary

332

(1)

Review Exercises

333

(5)

Chapter Test

338

(1)

Analytic Trigonometry

339

(52)

Using Fundamental Identities

340

(8)

Verifying Trigonometric Identities

348

(8)

Solving Trigonometric Equations

356

(12)

Sum and Difference Formulas

368

(7)

Multiple-Angle and Product-to-Sum Formulas

375

(16)

Chapter Summary

386

(1)

Review Exercises

387

(3)

Chapter Test

390

(1)

Additional Topics in Trigonometry

391

(60)

Law of Sines

392

(9)

Law of Cosines

401

(7)

Vectors in the Plane

408

(14)

Vectors and Dot Products

422

(10)

Trigonometric Form of a Complex Number

432

(19)

Chapter Summary

443

(1)

Review Exercises

444

(4)

Chapter Test

448

(1)

Cumulative Test: Chapters 4--6

449

(2)

Linear Systems and Matrices

451

(104)

Solving Systems of Equations

452

(11)

Systems of Linear Equations in Two Variables

463

(10)

Multivariable Linear Systems

473

(16)

Matrices and Systems of Equations

489

(15)

Operations with Matrices

504

(15)

The Inverse of a Square Matrix

519

(9)

The Determinant of a Square Matrix

528

(8)

Applications of Matrices and Determinants

536

(19)

Chapter Summary

546

(2)

Review Exercises

548

(6)

Chapter Test

554

(1)

Sequences, Series, and Probability

555

(76)

Sequences and Series

556

(11)

Arithmetic Sequences and Partial Sums

567

(9)

Geometric Sequences and Series

576

(10)

Mathematical Induction

586

(8)

The Binomial Theorem

594

(8)

Counting Principles

602

(10)

Probability

612

(19)

Chapter Summary

625

(1)

Review Exercises

626

(4)

Chapter Test

630

(1)

Topics in Analytic Geometry

631

(74)

Introduction to Conics: Parabolas

632

(8)

Ellipses

640

(9)

Hyperbolas

649

(10)

Rotation and Systems of Quadratic Equations

659

(9)

Parametric Equations

668

(8)

Polar Coordinates

676

(6)

Graphs of Polar Equations

682

(9)

Polar Equations of Conics

691

(14)

Chapter Summary

698

(1)

Review Exercises

699

(4)

Chapter Test

703

(1)

Cumulative Test: Chapters 7--9

704

(1)

Analytic Geometry in Three Dimensions

705

(36)

The Three-Dimensional Coordinate System

706

(8)

Vectors in Space

714

(7)

The Cross Product of Two Vectors

721

(7)

Lines and Planes in Space

728

(13)

Chapter Summary

737

(1)

Review Exercises

738

(2)

Chapter Test

740

(1)

Limits and an Introduction to Calculus

741

Introduction to Limits

742

(11)

Techniques for Evaluating Limits

753

(10)

The Tangent Line Problem

763

(10)

Limits at Infinity and Limits of Sequences

773

(9)

The Area Problem

782

Chapter Summary

790

(1)

Review Exercises

791

(3)

Chapter Test

794

(1)

Cumulative Test: Chapters 10--11

795

Appendices

Appendix A Technology Support Guide

1

(24)

Appendix B Review of Graphs, Equations, and Inequalities

25

(59)

The Cartesian Plane

25

(11)

Graphs of Equations

36

(11)

Solving Equations Algebraically and Graphically

47

(16)

Solving Inequalities Algebraically and Graphically

63

(12)

Exploring Data: Representing Data Graphically

75

(9)

Appendix C Proofs of Selected Theorems

84

(14)

Appendix D Concepts in Statistics

98

(11)

Measures of Central Tendency and Dispersion

98

(9)

Least Squares Regression

107

(2)

Appendix E Solving Linear Equations and Inequalities

109

(3)

Appendix F Systems of Inequalities

112

(19)

Solving Systems of Inequalities

112

(10)

Linear Programming

122

(9)

Answers to Odd-Numbered Exercises and Tests

131

(142)

Index of Applications

273

(4)

Index

277

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Customer Reviews

Required titleOctober 28, 2014

by Kay mullen

"The book, Precalculus With Limits A Graphing Approach, will guide the reader through the fundamentals of precalculus. It will start off will a simple review of basic algebra to refresh the fundamentals. This book is easy to follow and understand. The latest concepts of precalculus will be taught in a fresh and approachable way. This book is designed to be used side by side with a graphing calculator. Each chapter will be followed by a chapter summary, as well as review exercises and a chapter test to better help the student learn and retain the information to prepare students for classroom tests on the subject."

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Precalculus with Limits : A Graphing Approach: 5 out of 5 stars based on 1 user reviews.